Solve 5x tan (8x ) =3x trig function, Mathematics

Assignment Help:

Solve 5x tan (8x ) =3x .

Solution : Firstly, before we even begin solving we have to make one thing clear.  DO NOT CANCEL AN x FROM BOTH SIDES!!! Whereas this may appear like a natural thing to do it WILL cause us to lose solution here.

Hence, to solve this equation first we'll get all the terms on one side of the equation & then factor out an x of the equation.  If we can cancel out an x from all terms then it can be factored out.  Doing this gives,

                                     5x tan (8x ) - 3x = x (5 tan(8x ) - 3) = 0

Upon factoring we can illustrates that we ought to have either,

                                   x= 0      OR      tan (8x ) = 3/5

Note as well that if we'd canceled out the x we would have missed the first solution.  Now, we solved out an equation along with a tangent in it in previous section hence we'll not go into the details of this solution here.  Following is the solution to the trig equation.

x= 0.0676 + ? n/4                                                 n= 0, ±1, ±2,..........

x= 0.4603 + ? n/4

The complete set of solutions then to the original equation is following,

x= 0

x= 0.0676 + ? n/4

x= 0.4603 + ? n/4

n= 0, ±1, ±2,..........


Related Discussions:- Solve 5x tan (8x ) =3x trig function

Composite functions, f(x)=4x-3 and g(x)=(x+3)/4 a)Find the function fg(x) ...

f(x)=4x-3 and g(x)=(x+3)/4 a)Find the function fg(x) b)Hence describe the relationship between the functions f and g c)Write down the exact value of fg(sqrt(3))

Formulas for the volume of this solid, Formulas for the volume of this soli...

Formulas for the volume of this solid V = ∫ b a A ( x) dx          V = ∫ d c A ( y ) dy where, A ( x ) & A ( y ) is the cross-sectional area of the solid. There are seve

Given x+1/x=2cosy then find x^n +1/x^n, Here we know x can only be 1 or -1...

Here we know x can only be 1 or -1. so if it is 1 ans is 2. if x is -1, for n even ans will be 2 if x is -1 and n is odd ans will ne -2. so we can see evenfor negative x also an

Exponents., the (cube square root of 2)^1/2)^3

the (cube square root of 2)^1/2)^3

Permutation, A train goin from delhi to jaipur stops at 7 intermediate stat...

A train goin from delhi to jaipur stops at 7 intermediate stations. 5 persons enter the train during the journey with 5 difefrent tickets of same class . How mant different set of

Integers , (-85) from (-21) and explain me

(-85) from (-21) and explain me

List some maths activities-tasks-exercises for children, List some activiti...

List some activities/tasks/exercises that you would give a class of 50 children to do to make them aware about patterns, and to articulate what the patterns are. You must be won

#title.automotive cruise control system., What are some of the interestingm...

What are some of the interestingmodern developments in cruise control systems that contrast with comparatively basic old systems

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd